document.write( "Question 1052103: A word problem is expressed as 3(2n+1)=2(2n+3)+5.
\n" ); document.write( "This implies 6n+3=4n+6+5. The next step given as the solution eludes me as to how they came up with it. How does that turn into 2n=8 (and thus n=4)? I would appreciate an explanation here. Thank you! \n" ); document.write( "

Algebra.Com's Answer #667517 by josgarithmetic(39623) $\"\"$ $\"About$

You can put this solution on YOUR website!
The equation looks like it comes from consecutive odd integers. Three times the first odd integer is five more than two times the next odd integer. Find n and you can evaluate the two integers.\r
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\n" ); document.write( "\n" ); document.write( " $\"3%282n%2B1%29=2%282n%2B3%29%2B5\"$
\n" ); document.write( " $\"6n%2B3=4n%2B6%2B5\"$ , distributive property;
\n" ); document.write( " $\"6n%2B3=4n%2B11\"$
\n" ); document.write( " $\"6n%2B3-4n=4n%2B11-4n\"$ , maybe a step you should have seen to do but did not;
\n" ); document.write( " $\"6n-4n%2B3=4n-4n%2B11\"$
\n" ); document.write( " $\"2n%2B3=11\"$
\n" ); document.write( " $\"2n=11-3\"$
\n" ); document.write( " $\"2n=8\"$
\n" ); document.write( " $\"highlight%28n=4%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "The numbers are 9 and 11. \n" ); document.write( "

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